Paula Badosa believes she can break back into the world's top three after cruising past Daria Kasatkina at the Porsche Tennis Grand Prix, where Emma Raducanu crashed out on Tuesday.

Seventh seed Kasatkina had no answers in Stuttgart as she fell to a 6-1 6-1 defeat against Badosa, who recorded the ninth top-10 victory of her career and first in exactly 12 months.

Badosa has won 29 clay-court matches in the last three seasons – only Ons Jabeur (35) and Iga Swiatek (30) have won more – but the Spaniard had to enter this tournament as a wildcard.

The 25-year-old was as high as second in the world last year but has fallen to 31st, and she outlined her goal to reach the top once more after her first-round win set up an all-Spanish meeting with Cristina Bucsa.

When asked about her ambitions to return to the world's top three, Badosa said: "That's what I'm working on every day. That's one of my goals – I want to be back on the top.

"I like to play big matches, I like to be in the last rounds of the tournaments. I still know I have that level. I still know I was that player. I still believe in myself, and I hope I'm back there very soon."

Jelena Ostapenko eased into the second round with similar dominance after downing Raducanu 6-2 6-1 in just 58 minutes, teeing up a meeting with world number four Ons Jabeur on Wednesday.

Latvian Ostapenko powered 19 forehand winners and went unbroken, acknowledging in her on-court interview that familiar aggression was key to her success in the battle of two one-time grand slam winners.

"I knew against her the main thing was to step in the court," said former French Open winner Ostapenko. "I missed some balls, but I tried to be aggressive all the time when it was possible.

"Just try to take the ball early, don't give her many chances. And finally, I'm back on clay, my favourite surface."

Barbora Krejcikova was another straight-sets winner, scoring a 6-2 6-0 triumph over Liudmila Samsonova, with the reward for the 2021 Roland Garros champion being a tricky clash against second seed and Australian Open winner Aryna Sabalenka.

There was no such ease for Anastasia Potapova in a battling 6-3 3-6 7-6 (7-4) victory over Petra Martic, the Russian's ninth third-set win in 2023 – no WTA Tour player has managed more.

Tatjana Maria overcame Ylena In-Albon 6-2 4-6 7-6 (7-4) in another enticing clash, while Beatriz Haddad Maia advanced after Martina Trevisan was forced to retire when trailing 7-5 1-1 due to a right thigh injury.

Anastasia Potapova won the second WTA Tour title of her career with a straightforward win over Petra Martic in Sunday's final at the Linz Open.

The 21-year-old, who is set to reach a personal high of 31 in the world rankings on Monday, saw off her Croatian opponent in just an hour and 16 minutes, winning 6-3 6-1.

Potapova dropped as low as 124 in the rankings last year, but this week's success is another reminder of the Russian's promise.

Martic seemingly represents something of a good luck charm for Potapova – she also beat her en route to her first ever WTA title last year in Istanbul.

It did not always look like going in Potapova's favour, though, as she was broken right at the start and then only just held off Martic in her second service game.

Potapova then secured two breaks that helped her seal the first set, and after Martic won the first game of the second, the eventual champion reeled off six on the bounce to emphatically romp to victory.

Belinda Bencic breezed through to the Abu Dhabi Open final after a commanding 6-2 6-3 victory over Beatriz Haddad Maia on Saturday.

The world number nine, who is yet to drop a set this week, is into her second WTA final of 2023, having triumphed in Adelaide last month.

Haddad Maia arrived in the clash fresh from winning each of her previous six encounters with top-10 opponents, including her quarter-final victory over Wimbledon champion and Australian Open finalist Elena Rybakina.

But the Brazilian had already spent almost eight hours on court in this event prior to this contest, in which Bencic dropped just five games on the way to wracking up her 11th win of the campaign – the joint-most on the WTA Tour alongside Melbourne winner Aryna Sabalenka.

She will play number eight seed Liudmila Samsonova in Sunday's final after the Russian defeated Zheng Qinwen 6-4 1-6 6-4.

After being edged out in the first set, Zheng responded to motor through the second and seemed to have the momentum going into the third, but Samsonova showed impressive resolve to see off three break points against her, before taking her first on match point.

At the Linz Open, top seed Maria Sakkari is out after going down 3-6 6-3 6-4 to sixth seed Petra Martic in a match that lasted over two and a half hours.

The Croatian will play Anastasia Potapova in the final after the number eight seed claimed yet another three-set victory this week to see off Marketa Vondrousova 6-1 6-7 (4-7) 6-3 and secure her fifth WTA final appearance.

It was a bad day for seeds at the Lyon Open, with Petra Martic and Mayar Sherif both crashing out in the round of 16 in France.

Fourth seed Martic made a good start against American opponent Alycia Parks on Wednesday, only to lose 2-6 7-6 (7-3) 6-2.

Sixth seed Sherif was more convincingly beaten as she fell to Czech teenager Linda Noskova 6-3 6-2.

Noskova will face Camila Osorio in the quarter-finals after the Colombian came out on top in a tight clash with Jule Niemeier 7-6 (7-5) 7-5

In the two remaining first-round matches, Jasmine Paolini defeated Rebeka Masarova 6-3 6-2, while Belgian Alison Van Uytvanck will face top seed Caroline Garcia in the last 16 after beating Tamara Korpatsch 6-2 6-4.

At the Thailand Open, it was not much better for seeded players as Anna Kalinskaya and Linda Fruhvirtova both exited on Wednesday.

Fourth seed Kalinskaya was overwhelmed 6-0 in the opening set against Lesia Tsurenko, only to win a tie-break in the second.

The unseeded Ukrainian ultimately won out, though, sealing a 6-0 6-7 (3-7) 6-4 victory to reach the quarter-finals.

Eighth seed Fruhvirtova also managed to level after falling a set behind, and also could not find the win as the 17-year-old was beaten by Tamara Zidansek 6-3 4-6 6-4.

The Slovenian will face Zhu Lin in the last eight after her straight-sets win over Jang Su-jeong, but there was one win for a seed as Xinyu Wang (seventh seed) beat Mirjam Bjorklund 6-3 6-3.

Iga Swiatek dragged Poland into the semi-finals of the United Cup with inspired performances in her singles and doubles matches against Italy.

Poland trailed after Lorenzo Musetti and Matteo Berrettini secured wins against Daniel Michalski and Hubert Hurkacz respectively, only for Swiatek and Magda Linette to level things with respective singles victories over Martina Trevisan and Lucia Bronzetti.

That sent the Brisbane city final to a decider in the mixed doubles, which Swiatek and Hurkacz won with ease 6-1 6-2 against Musetti and Camilla Rosatello, though there was a pause in the second set to dry rainfall on the court.

Despite defeat, Italy also advanced to the final four as the city finals loser with the best record.

It was more routine in Sydney as the United States eased to a 4-1 win against Great Britain.

Madison Keys came from a set down to beat Katie Swan, while Jessica Pegula eased past Harriet Dart 6-2 6-0 after Cameron Norrie had defeated Taylor Fritz in three sets.

Despite going a set behind, Frances Tiafoe came back to beat Dan Evans 3-6 7-5 6-3 to clinch the win for his country, before Pegula and Fritz added some gloss after beating Dart and Evans in the mixed doubles.

The third city final in Perth included a thriller as Greece's Stefanos Tsitsipas beat Borna Coric 6-0 6-7 (4-7) 7-5. Donna Vekic had no trouble getting Croatia on the board as she eased past Despina Papamichail 6-2 6-0.

Maria Sakkari put Greece 2-1 ahead when she beat Petra Martic 6-3 6-3, but Borna Gojo defeated Stefanos Sakellaridis in straight sets to make it 2-2.

However, Greece secured the win and their place in the last four after the pairing of Sakkari and Tsitsipas saw off Martic and Gojo 7-6 (8-6) 6-4.

Greece will take on Italy in the semi-finals, while Poland face the USA, with both taking place in Sydney on Friday.

Wins for Hubert Hurkacz and Magda Linette saw Poland advance to the City Finals of the United Cup in Australia on Tuesday.

Hurkacz made it through a tough encounter against Stan Wawrinka 7-6 (7-5) 6-4 to give Poland a 2-1 lead in their Group B tie with Switzerland in Brisbane, before Linette came from behind to beat Jil Teichmann 5-7 6-4 6-1 to clinch it.

Poland will face Italy in the Brisbane final, whose 5-0 whitewash of Norway included Matteo Berrettini sealing victory with a 6-4 6-4 win over Casper Ruud.

In Perth, Croatia advanced to the City Finals after a dramatic day that saw Caroline Garcia get France on the board with a straight sets win against Petra Martic, before Adrian Mannarino came from a set down against Borna Gojo to serve for the match as he looked to bring his country level at 2-2.

However, Gojo broke back in a tense encounter before winning a deciding tie-break to send Croatia through to face Greece, who sealed a 4-1 win against Belgium.

Stefanos Sakellaridis recovered from going a set behind to beat Zizou Bergs, before Maria Sakkari overcame Elise Mertens 6-1 7-5, with Sakkari and Stefanos Tsitsipas adding some gloss to the score with a mixed doubles success against Kirsten Flipkens and Michael Geerts. 

Spain and Australia were unable to progress but the hosts at least had the consolation of securing a victory thanks to wins for Jason Kubler against Albert Ramos-Vinolas, and the mixed doubles duo of John Peers and Sam Stosur against Jessica Bouzas Maneiro and David Vega Hernandez.

The USA had already secured their Finals berth against Great Britain in Sydney, but were ruthless as they finished off their tie against Germany to win 5-0.

After Jessica Pegula beat Laura Siegemund 6-3 6-2, Frances Tiafoe also defeated Oscar Otte in straight sets, before the American duo combined to beat Siegemund and Daniel Altmaier 6-7 (5-7) 6-4 10-7 to complete a clean sweep.

Petra Martic clinched the Ladies Open Lausanne on Sunday after a straight-sets win against Olga Danilovic, prevailing 6-4 6-2.

The world number 85 secured the second WTA title of her career in one hour and 29 minutes on the clay on Sunday after a dominant showing against the Serbian.

Martic had eliminated three seeds on her way to the final and made a strong start as she broke Danilovic in the opening game the contest.

Danilovic recovered well and broke back soon after, before rescuing six break points in the seventh game, but she was unable to keep the Croatian at bay in her next service game as Martic took another break, before serving out to clinch the first set with a beautiful forehand down the line.

Martic's serve was her strength on the day, winning 71.8 per cent of her first serves, but more impressively, 63.2 per cent of her second serves compared to 29.2 per cent from her opponent.

Danilovic was competing in her first WTA Tour final in 1,449 days, with her last one being on July 29, 2018, when she won in Moscow.

A steady start to the second set from Danilovic was undone in the fifth game after a sloppy service game saw Martic break to love.

The 31-year-old was then made to work to hold her own serve, before breaking again following a couple of fortunate moments when the ball clipped the net.

Martic - who had been ranked as high as 14th in the world in 2020 - then served out with ease to clinch her first title since 2019, and despite the comfortable victory, had words of praise for her 21-year-old opponent during her on-court interview post-match.

"When I arrived here the first day, I came to check out the centre courts and I saw Olga playing," she told the crowd. "I said to my manager 'she is going to be a great player'. She already is."

Reigning champion Yulia Putintseva's Budapest Grand Prix title defence came to a disappointing end after she was beaten in the semi-final in straight sets by Aleksandra Krunic.

The Kazakh Putintseva struggled to get going, failing to convert any of her seven break points, as the Serbian Krunic broke her serve four times en route to a 6-2 6-2 win.

Bernarda Pera will await Krunic in the final in Hungary, after her 6-3 6-4 victory over Anna Bondar.

Bondar raced out to an early 3-0 lead in the first set, but Pera rattled off six games in a row to take the opener.

The Croatian-born American then won the first three games of the second set, before overcoming a desperate late Bondar charge to break her at 5-4 and finish things off.

Sunday's final will be the third meeting between Krunic and Pera with the latter winning both of the previous contests, firstly in the quarter-finals of the Guangzhou Open in 2018 and then in Moscow in 2021.

At the Ladies Open Lausanne, qualifier Olga Danilovic cruised through to the final with a 6-3 6-2 victory over Russian Anastasia Potapova.

Danilovic won her first WTA Tour singles event in Moscow in 2018, overcoming Potapova after three sets.

And the world number 124 was victorious against Potapova once more in Switzerland to seal her place in her second WTA Tour singles final.

The Serbian 21-year-old will meet Petra Martic in the decider on Sunday after Martic overcame sixth seed Caroline Garcia 6-4 1-6 6-3.

Neither player had dropped a set on their way to the semi-finals, but things at Lausanne were tied up at one set each after two.

Garcia had won all three of her previous meetings with Martic, but the Croatian's two crucial breaks of serve in the final set were telling, as she held her nerve to reach the final against Danilovic.

Petra Martic beat home favourite Belinda Bencic to set up a semi-final against Caroline Garcia at the Ladies Open Lausanne.

Martic toppled the second seed with a 6-3 7-6 (7-2) victory on Friday.

The unseeded Croatian, who was beaten by eventual champion Elena Rybakina in the fourth round at Wimbledon last week, claimed the only break of the first set to lead 5-3 and held her nerve to serve it out. 

Bencic twice came from a break down in the second set to force a tie-break, but Martic raced into a 6-0 lead and duly moved into the last four.

The 31-year-old Split native will come up against Garcia, who beat Sara Sorribes Tormo 6-4 6-1.

Frenchwoman Garcia also reached the last 16 in the grass-court grand slam at SW19 and has won 11 of her past 12 matches.

Unseeded duo Olga Danilovic and Anastasia Potapova will contest the other semi-final following victories over Simona Waltert and Wimbledon quarter-finalist Jule Niemeier respectively.

At the Budapest Grand Prix, Anna Bondar is through to the last four without dropping a set in her homeland after defeating Martina Trevisan 6-4 6-1.

Ninth seed Bondar will face Bernarda Pera, who beat Elisabetta Cocciaretto 6-4 6-3. Yulia Putintseva had won all eight games before Lesia Tsurenko retired from their quarter-final due to injury and she will take on Aleksandra Krunic, who cruised past Wang Xiyu 6-0 6-1.

World number one Iga Swiatek beat Victoria Azarenka 6-4 6-1 to progress to the quarter-finals of the Internazionali d'Italia in Rome on Thursday. 

Swiatek, who became the first female player to win 25 consecutive matches since Serena Williams in 2015, will face Bianca Andreescu in the last eight after she eased past Petra Martic 6-4 6-4.

"I didn't start well, and everybody could see that," Swiatek told reporters. "I'm really happy with the way I reacted and how I improved in the first set.

"Also how different the second set looked to the first one because I could really reset and really change the way I played. That's the most positive thing for me."

There was a shock in the final game of the day, though, as Daria Kasatkina dumped out number two seed Paula Badosa 6-4 6-4. 

Third seed Aryna Sabalenka sealed a third straight win over Jessica Pegula, easing to a 6-1 6-4 victory, while fourth seed Maria Sakkari defeated Coco Gauff 6-4 7-5.

Seventh seed Danielle Collins was knocked out by unseeded compatriot Amanda Anisimova, the 20-year-old cruising past the Australian Open finalist 6-2 6-2.

There were also victories for Jil Teichmann, who overcame Elena Rybakina 6-7 (3-7) 6-3 7-5, and ninth seed Ons Jabeur, who beat Yulia Putintseva 6-3 6-2.

Former world number one Simona Halep emphatically dispatched unseeded Petra Matric 6-1 6-1 in Wednesday's quarter-final at the Indian Wells Open.

Halep landed 75 per cent of her first-serves and won those points at a rate of 82 per cent (27/33).

Martic's serve commanded much less respect, as she landed 69 per cent of her first-serves, but only won 36 per cent of those points (8/22).

After holding in her first service game, Martic allowed Halep to rattle off six consecutive games, with three double-faults assisting her Romanian opponent.

With the win, Halep booked a semi-final matchup against Poland's number three seed Iga Swiatek after she prevailed in her meeting with American Madison Keys in similar fashion.

Elina Svitolina said she "was on a mission" for Ukraine after earning a straight-sets win over Russian opponent Anastasia Potapova in the opening round of the Monterrey Open.

The top seed donned the yellow and blue colours of her homeland for Tuesday's match and eased to a 6-2 6-1 victory in a little over an hour in Mexico.

Svitolina only agreed to play her opener after tennis authorities announced a ban on Russian and Belarussian players competing under the name and flags of their countries.

And as Russia's invasion of Ukraine entered its sixth day, the 27-year-old produced an impressive performance that saw her win 73.5 per cent of her first-serve points.

Former world number three Svitolina, who will now face Bulgarian qualifier Viktoriya Tomova, had previously announced she will donate her prize money to the Ukrainian army.

"It's a special one because of what we are going through right now in Ukraine, it's terrifying," Svitolina told reporters. 

"It's been six days and all the Ukrainian tennis players and Ukrainians who are there, we have been really terrified with what is happening.

"For me, playing the match here, I'm not playing only for myself. I'm playing for my country, I'm playing for the help of the Ukrainian army and people in need. 

"I was focused. I was on a mission for my country. From the beginning, it was important to be ready for anything that comes my way."

Petra Martic is also through to round two after recovering from behind to beat third seed Madison Keys 4-6 7-6 (7-3) 6-3.

Marie Bouzkova awaits following the world number 81's 4-6 6-2 6-4 win against Sara Errani. Number eight seed Ann Li's participation in the tournament came to an end with a 6-2 6-1 loss to Wang Xinyu, who will now face Brazil's Beatriz Haddad Maia.

Seeds Petra Martic and Coco Gauff were victorious at the Emilia-Romagna Open on Wednesday, but injury cut short Sara Sorribes Tormo's run in the tournament.

Gauff recorded five breaks of serve as she overcame Italian Camila Giorgi in routine fashion, a 6-2 6-3 triumph securing the third seed a place in the quarter-finals.

The American did have a few issues on her own serve, leading to seven double faults, but ended up winning in one hour and 11 minutes.

Martic, the second seed at the event, was made to work in the first set of her match against Ludmilla Samsonova, both players saving a break point on serve as it went the distance.

There was little to split the pair in the tie-breaker too, Martic edging it 7-5 as she capitalised on her first opportunity to take the set.

The second was more straightforward for the Croatian, an early beak of serve putting her in front before she repeated the trick to wrap up victory in the ninth game.

There were wins in straight sets for fellow seeds Caroline Garcia and Wang Qiang too, as they defeated Anna-Lena Friedsam and Martina Di Giuseppe respectively.

For Garcia, the triumph means a first quarter-final appearance in the 2021 season.

Sorribes Tormo was the only seeded player to exit in the day’s action, the Spaniard forced to retire at 2-2 in the deciding set against Sara Errani due to a problem with her left thigh.

"I'm very sorry for Sara. It was a battle, I know every time we play together it is like this. I was mentally ready to fight, to suffer," Errani said in her on-court interview.

Top seed Serena Williams is already out, beaten in straight sets by Katerina Siniakova to deal the 23-time grand slam champion a further blow ahead of this year's French Open.

Serena Williams saw her hopes of an extended run at the Emilia-Romagna Open come to an early end on Tuesday, the top seed succumbing to Katerina Siniakova in straight sets.

Williams had taken up a wildcard to play in the tournament following an early exit in Rome, where she was beaten by Nadia Podoroska in her opening contest in the clay-court swing.

Her campaign in Parma got off to a better start on Monday, a 6-3 6-2 result against WTA Tour debutant Lisa Pigato bringing a first triumph since losing in the semi-finals of the Australian Open in February.

However, the 23-time grand slam champion was unable to repel a determined Siniakova as she slipped out at the last-16 stage.

"It was a fantastic match and I played so well, I'm so happy that I could finish like that," Siniakova said after recording a 7-6 (7-4) 6-2 result.

"It was a pleasure to share the court with her.

"Now I will have the pressure because I defeated a great player, but I will enjoy it. I'm happy that I can continue and I will try to play my best in the next match."

Having failed to convert a set point opportunity, Williams hit back after losing serve with a break of her own to force a tie-break in the opener.

But Siniakova forced her way into a 5-3 lead before sealing it with a service winner, then quickly seized control of proceedings in a second set which was far less competitive.

Third seed Coco Gauff came through two tie-breaks to see off Kaia Kanepi, the American teenager having let slip a 5-1 lead in the second set before eventually sealing a 7-6 (8-6) 7-6 (9-7) win.

Petra Martic had no such issues in her opening contest against Varvara Gracheva, the second seed easing through 6-4 6-2 after one hour and 21 minutes on court.

French Open champion Iga Swiatek beat Elina Svitolina and Coco Gauff on a hectic Saturday to set up a clash with Karolina Pliskova in the Internazionali d'Italia final.

The Polish teenager began her day with a 6-2 7-5 morning victory over fifth seed Svitolina, twice a winner of this tournament in Rome.

It was a match that was carried over from Friday's schedule after rain interrupted play, and Swiatek delivered a convincing performance.

That set up the semi-final clash with Gauff, the 17-year-old American who was competing at this stage of a WTA 1000 event for the first time, having been gifted her last-four place when Ash Barty abandoned their quarter-final match due to injury on Friday.

There was no sign of fatigue from Swiatek as the 19-year-old powered to a 7-6 (7-3) 6-3 victory in a battle of the leading teenage stars of the women's game, who faced each for the first time in what could be a long rivalry.

Swiatek said: "I felt really good today. It's a big difference between my previous matches and today. I was able to beat Elina, so that shows that my game is here, I'm ready for anyone. It gave me a real confidence boost."

Quoted on the WTA website, the 15th seed added: "It's always hard to play against a young superstar, especially when I'm not used to that because I was always the youngest one.

"I just tried to have a high level of energy, even though it was my second match."

Between her two matches, Swiatek would have learned it was Pliskova waiting in the final, as the Czech ninth seed defeated Croatian Petra Martic 6-1 3-6 6-2 to keep up her remarkable record in the Italian capital.

Pliskova won the Rome title in 2019 and was runner-up to Simona Halep last year, but the 29-year-old former world number one has not been to a final since this event unusually took place in September of last year, having been delayed due to the pandemic.

Swiatek won as a major outsider at Roland Garros in October, defying her world ranking which at the time was a lowly 54th, and will face, in Pliskova, a player who has yet to win a grand slam title, a glaring absence amid an otherwise stellar career.

Against Gauff, Swiatek made 25 winners and just 16 unforced errors, a healthy ratio, and took three of her four break-point opportunities.

She sealed victory on a third match point, a big backhand forcing a stretching Gauff to chip beyond the baseline.

Gauff hit seven aces but also five double faults and had 33 winners and 32 unforced errors in the contest.